Length of x is 98.2 m
<u>Step-by-step explanation:</u>
Step 1:
Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.
tan 27° = opposite side/adjacent side = opposite side/9
∴ Opposite side = 9 tan 27° = 9 × - 3.27 = -29.46 m
Step 2:
Use this side and trigonometric ratio cosine to find the value of x.
cos 49° = adjacent side/x = -29.46/x
∴ x = -29.46/cos 49° = -29.46/0.30
= 98.2 m (negative value neglected)
Answer:
0.5015 = 50.15% probability that it came from manufacturer A.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Defective
Event B: From manufacturer A.
Probability a unit is defective:
2% of 43%(from manufacturer A)
1.5% of 57%(from manufacturer B). So
Probability a unit is defective and from manufacturer A:
2% of 43%. So
What is the probability that it came from manufacturer A?
0.5015 = 50.15% probability that it came from manufacturer A.
Answer:
X=1.132589
Step-by-step explanation:
If im correct the answer would be x=1.132589
3
x2−1
−2(x+3)=
5
x+1
3
(x+1)(x−1)
+−2x−6=
5
x+1
Multiply all terms by (x+1)(x-1) and cancel:
3+(−2x−6)(x+1)(x−1)=5(x−1)
−2x3−6x2+2x+9=5x−5(Simplify both sides of the equation)
−2x3−6x2+2x+9−(5x−5)=5x−5−(5x−5)(Subtract 5x-5 from both sides)
−2x3−6x2−3x+14=0
(Use cubic formula)
x=1.132589
And dont forget to check your answer
The table answers for the first equation are
-5.5
-3
-.5
2
3.5
The table answers for the second equation are
16
8
4
0
-4
